Effective Multiplicity One for GL(n)
| dc.creator | Brumley, Farrell | |
| dc.date | 2003-06-03 | |
| dc.date | 2005-08-26 | |
| dc.date.accessioned | 2026-07-07T04:58:32Z | |
| dc.date.available | 2026-07-07T04:58:32Z | |
| dc.description | We establish zero-free regions tapering as an inverse power of the analytic conductor for Rankin-Selberg L-functions on GL(n) x GL(n'). Such zero-free regions are equivalent to commensurate lower bounds on the edge of the critical strip, and in the case of $L(s,f x f~), on the residue at s=1. As an application we show that a cuspidal automorphic representation on GL(n) is determined by a finite number of its Dirichlet series coefficients, and that this number grows at most polynomially in the analytic conductor. | |
| dc.description | In this final version of this paper, soon to be published in this form in the American Journal of Math, I have corrected some definitions concerning the analytic conductor and addressed some minor problems involving ramification in the final section | |
| dc.identifier | https://arxiv.org/abs/math/0306052 | |
| dc.identifier | http://arxiv.org/abs/math/0306052 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67672 | |
| dc.subject | Number Theory | |
| dc.subject | 11M41 | |
| dc.title | Effective Multiplicity One for GL(n) | |
| dc.type | text |